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Simplifying 6.78 + 15.64 + -9.9k = -17.7 + -13.3k Combine like terms: 6.78 + 15.64 = 22.42 22.42 + -9.9k = -17.7 + -13.3k Solving 22.42 + -9.9k = -17.7 + -13.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13.3k' to each side of the equation. 22.42 + -9.9k + 13.3k = -17.7 + -13.3k + 13.3k Combine like terms: -9.9k + 13.3k = 3.4k 22.42 + 3.4k = -17.7 + -13.3k + 13.3k Combine like terms: -13.3k + 13.3k = 0.0 22.42 + 3.4k = -17.7 + 0.0 22.42 + 3.4k = -17.7 Add '-22.42' to each side of the equation. 22.42 + -22.42 + 3.4k = -17.7 + -22.42 Combine like terms: 22.42 + -22.42 = 0.00 0.00 + 3.4k = -17.7 + -22.42 3.4k = -17.7 + -22.42 Combine like terms: -17.7 + -22.42 = -40.12 3.4k = -40.12 Divide each side by '3.4'. k = -11.8 Simplifying k = -11.8
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